In this article, the authors provide some insight into how teachers can potentially facilitate among students' representations and activities on mathematical tasks: between or among -- (1) student representations and the context; (2) multiple forms of student representations; and (3) processes in student representations. The authors use the…

Problem solving requires the application of critical reading and thinking skills and the use of relevant strategies to reach a solution. Independent learners are able to apply taught strategies across contexts and often complete challenging tasks unassisted. The purpose of this paper is to explain how a process of analysis of assignments and…

The purpose of this article is to demonstrate how students' mathematics identities were developed and how their agency was fostered through the use of a mathematical action technology (MAT), Desmo, during stages of learning beyond noticing and wondering. The authors describe how they enacted an eighth-grade mathematics lesson depicting students…

Advancement of self-regulation during complex problem solving and the development of strategical reasoning are among the central educational goals linked to 21st century skills. In this paper we introduce the notion of "Stepped Tasks", which are specially designed in Top-Down structure to achieve these goals in mathematics instruction.…

Sequencing language production activities based on the inherent cognitive load of each activity type can improve student performance and self-efficacy on high cognitive load language tasks like conversational speech (either face-to-face or via video chat). This ordering according to cognitive difficulty can scaffold learners in their development…

The English as a foreign language classroom is a plurilingual setting par excellence since it involves at least two languages. However, plurilingual practices such as code-switching and translation have been consistently discouraged in formal learning contexts, based on the belief that keeping languages compartmentalized helps learning, and…

Since Ecuador has determined that it wants to be fully bilingual in ten years, this paper describes the experience of a Fulbright Scholar at a university Language Center in Quito; one helping language teachers improve the language learning skills of their students. The theoretical framework for this work comes from Learner Self-Management (LSM) or…

There is widespread agreement that collaboration, teamwork and intercultural competence, among others, are essential 21st century skills. Higher education teaching and learning initiatives tend to have a significant focus on developing these skills through assessments and other in-class activities, and yet often do not take advantage of…

Traditionally, the first mathematical task for primary grade students to master is addition. Mastering addition facts is truly a positive experience. Then one turns to subtraction. After mastering addition facts, many students think that subtraction facts are a whole new set of facts to learn that have nothing to do with addition facts. They do…

Developing critical numeracy is important in a society where mathematics plays a particular and significant role. One way of helping learners to develop the level of numeracy required to participate in society is by exploring ideas embedded in rich, accessible tasks. These can be linked to contexts that have relevance in their lives. One…

Over the last decade, WebQuests have grown in popularity in educational environments. In order to effectively implement a WebQuest in the classroom, best pedagogical practices must be employed; however, these best WebQuest practices should reflect the exigent 21st century skills students need to be successful, productive members of the global…

Digital game-players devote a large amount of their time to discovering rules hidden in the code and discoverable through empirical study, experiments, and developing or rediscovering the mathematical formulae governing the code. They do this through their own independent play as they test areas, gear and abilities, through data mining using…

Feedback from teachers during in-service courses shows that they are fascinated by neuroscience, as they feel that it has the potential to improve their teaching practice. A previous article of mine in "School Science Review" reported the first eight messages of the outcomes from a small-scale action research project with primary and secondary…

Expertise in domains ranging from sports to surgery involves a process of recognition-primed decision-making (RPD) in which experts make rapid, intuitive decisions based on recognizing critical features of dynamic performance situations. While the development of expert RPD is assumed to require years of domain experience, the transition from…

Although supplemental reading services are meant to improve reading achievement of struggling readers and students with reading disabilities, without concerted effort to ensure communication and coordination with in-school instruction, they may fall short of their desired mark. To promote learning, it is critical that any services provided outside…